A bushwalking party leave P and walk on a bearing of 335(degrees) for 11.4km until they reach Q. From Q they walk on a bearing of 65(degrees) for 18.7km at which point they arrive at R.

a) What is the distance between R and P to 3 sig. figs.?

b) What is the bearing of R from P, correct to nearest minute.

2 answers

one walks on a heading, not a bearing.

a) Note that angle Q is 90 degrees, so you have a right triangle. Easy...

b) This is the correct use of "bearing." If the bearing is x, then

tan(x+25) = 18.7/11.4

A diagram will show you why.
q is 130 deg for me o-o, but i prob did something wrong